Nine people (Ann, Ben, Cal, Dot, Ed, Fran, Gail, Hal, and Ida) are in a room. Five of them stand in a row for a picture. (a) How many ways are there to choose five people for the picture if Hal must be there and Ben must not be there? (b) In how many ways can a row of five people be formed if Dot is on the left end and Ed is on the right end? (c) In how many ways can a row of five people be formed if Ann and Ben are in the picture and standing next to each other?
Nine people (Ann, Ben, Cal, Dot, Ed, Fran, Gail, Hal, and Ida) are in a room. Five of them stand in a row for a picture. (a) How many ways are there to choose five people for the picture if Hal must be there and Ben must not be there? (b) In how many ways can a row of five people be formed if Dot is on the left end and Ed is on the right end? (c) In how many ways can a row of five people be formed if Ann and Ben are in the picture and standing next to each other?
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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Nine people (Ann, Ben, Cal, Dot, Ed, Fran, Gail, Hal, and Ida) are in a room. Five of them
stand in a row for a picture.
(a) How many ways are there to choose five people for the picture if Hal must be there and Ben must
not be there?
(b) In how many ways can a row of five people be formed if Dot is on the left end and Ed is on the
right end?
(c) In how many ways can a row of five people be formed if Ann and Ben are in the picture and
standing next to each other?
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